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  2. Elliptic-curve cryptography - Wikipedia

    en.wikipedia.org/wiki/Elliptic-curve_cryptography

    Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys to provide equivalent security, compared to cryptosystems based on modular exponentiation in Galois fields , such as the RSA cryptosystem and ElGamal cryptosystem .

  3. Elliptic Curve Digital Signature Algorithm - Wikipedia

    en.wikipedia.org/wiki/Elliptic_Curve_Digital...

    As with elliptic-curve cryptography in general, the bit size of the private key believed to be needed for ECDSA is about twice the size of the security level, in bits. [1] For example, at a security level of 80 bits—meaning an attacker requires a maximum of about 2 80 {\displaystyle 2^{80}} operations to find the private key—the size of an ...

  4. Comparison of cryptography libraries - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_cryptography...

    3.2 Elliptic-curve cryptography (ECC) support. ... OpenSSL: The OpenSSL Project: C ... Key operations include key generation algorithms, key exchange agreements, and ...

  5. ECC patents - Wikipedia

    en.wikipedia.org/wiki/ECC_patents

    For example, the OpenSSL team accepted an ECC patch only in 2005 (in OpenSSL version 0.9.8), despite the fact that it was submitted in 2002. According to Bruce Schneier as of May 31, 2007, "Certicom certainly can claim ownership of ECC. The algorithm was developed and patented by the company's founders, and the patents are well written and strong.

  6. Curve25519 - Wikipedia

    en.wikipedia.org/wiki/Curve25519

    In cryptography, Curve25519 is an elliptic curve used in elliptic-curve cryptography (ECC) offering 128 bits of security (256-bit key size) and designed for use with the Elliptic-curve Diffie–Hellman (ECDH) key agreement scheme. It is one of the fastest curves in ECC, and is not covered by any known patents. [1]

  7. Integrated Encryption Scheme - Wikipedia

    en.wikipedia.org/wiki/Integrated_Encryption_Scheme

    To send an encrypted message to Bob using ECIES, Alice needs the following information: The cryptography suite to be used, including a key derivation function (e.g., ANSI-X9.63-KDF with SHA-1 option), a message authentication code system (e.g., HMAC-SHA-1-160 with 160-bit keys or HMAC-SHA-1-80 with 80-bit keys) and a symmetric encryption scheme (e.g., TDEA in CBC mode or XOR encryption scheme ...

  8. Key generation - Wikipedia

    en.wikipedia.org/wiki/Key_generation

    Since public-key algorithms tend to be much slower than symmetric-key algorithms, modern systems such as TLS and SSH use a combination of the two: one party receives the other's public key, and encrypts a small piece of data (either a symmetric key or some data used to generate it). The remainder of the conversation uses a (typically faster ...

  9. wolfSSL - Wikipedia

    en.wikipedia.org/wiki/WolfSSL

    Key operations: generation and exchange, elliptic curve cryptography; Device RSA ECC ECC-DHE X25519 Ed25519 Cavium NITROX (III/V PX processors) 512–4096 bit NIST Prime 192, 224, 256, 384, 521 Microchip/Atmel. ATECC508A (compatible with any MPU or MCU including: Atmel SMART and AVR MCUs) 256 bit (NIST-P256) Intel QuickAssist Technology: 512 ...